GL(INFINITY) AND GEOMETRIC-QUANTIZATION

被引:51
作者
BORDEMANN, M
HOPPE, J
SCHALLER, P
SCHLICHENMAIER, M
机构
[1] UNIV KARLSRUHE,INST THEORET PHYS,W-7500 KARLSRUHE 1,GERMANY
[2] VIENNA TECH UNIV,INST THEORET PHYS,A-1040 VIENNA,AUSTRIA
[3] UNIV MANNHEIM,DEPT MATH & COMP SCI,W-6800 MANNHEIM,GERMANY
关键词
D O I
10.1007/BF02099490
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An axiomatic approach to the approximation of infinite dimensional algebras is presented; examples illustrating the need for a rigorous treatment of this subject. Geometric quantization is employed to construct systematically su(N) approximations of diffeomorphism algebras which first appeared in the theory of relativistic membranes.
引用
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页码:209 / 244
页数:36
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